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Finding the Third Proportional to 320,636.25 and 507,692.25

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Solution

The third proportional to 320,636.25 and 507,692.25 is: 803,874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,636.25 : 507,692.25 = 507,692.25 : x
  2. Step 2: Convert to fraction form
    320,636.25/507,692.25 = 507,692.25/x
  3. Step 3: Cross multiply
    320,636.25x = 507,692.25 × 507,692.25
  4. Step 4: Simplify right side
    320,636.25x = 257,751,420,710.06
  5. Step 5: Solve for x
    x = 257,751,420,710.06/320,636.25
  6. Step 6: Final answer
    x = 803,874.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.